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What is the mean of the test scores listed below? 100, 78, 47, 84, 93, 78
- A. 80
- B. 78
- C. 81
- D. 96
Correct Answer: A
Rationale: To find the mean of a set of numbers, you need to sum all the numbers together and then divide by the total count of numbers. In this case, the sum of the test scores is 100 + 78 + 47 + 84 + 93 + 78 = 480. Since there are 6 test scores in total, you divide the sum by 6 to get the mean. Therefore, the mean = 480 · 6 = 80. Hence, the correct answer is A, which is 80. It represents the average test score among the provided values.
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A person weighed 180 lb. Three months later, they weighed 160 lb. What is the percentage of weight the person lost over 3 months? (Round to the nearest percent.)
- A. 13%
- B. 20%
- C. 10%
- D. 5%
Correct Answer: B
Rationale: To calculate the percentage of weight lost, subtract the final weight from the initial weight, divide by the initial weight, and multiply by 100. In this case: (180 - 160) / 180 * 100 = 20%, which rounds to the nearest percent as 20%. Therefore, the person lost 20% of their initial weight over the three months. This calculation represents the relative decrease in weight from the initial weight to the final weight, indicating that the person lost 20% of their initial weight during the three-month period.
If a bucket containing 2 4/5 gallons of water is 1/3 full, how many gallons of water are in one fully filled bucket?
- A. 6 4/5
- B. 14/15
- C. 2 7/15
- D. 8 2/5
Correct Answer: D
Rationale: To determine the full capacity of the bucket, we need to find out how much 2 4/5 gallons (1/3 of the bucket) represents. First, convert 2 4/5 to an improper fraction: 2 4/5 = 14/5. Since this amount represents 1/3 of the bucket, we multiply it by 3 to find the full capacity. 14/5 * 3 = 42/5 = 8 2/5. Therefore, one fully filled bucket contains 8 2/5 gallons of water.
A sports utility vehicle travels 386.4 miles on 14 gallons of gas. Which of the following represents the constant of proportionality in miles per gallon?
- A. 5,409.60
- B. 13.8
- C. 372.4
- D. 27.6
Correct Answer: D
Rationale: The constant of proportionality in miles per gallon is calculated by dividing the total miles traveled by the total gallons used. In this case, 386.4 miles · 14 gallons = 27.6 miles per gallon. Therefore, option D, 27.6, correctly represents the constant of proportionality in miles per gallon.
A consumer needs to purchase at least 50 soft drinks for a picnic. Which of the following combinations is the most cost-effective? 2 packs of Orange and 1 pack of Cream Soda; 2 packs of Root Beer and 1 pack of Cream Soda; 3 packs of Orange; 5 packs of Cream Soda.
- A. 2 packs of Orange and 1 pack of Cream Soda
- B. 2 packs of Root Beer and 1 pack of Cream Soda
- C. 3 packs of Orange
- D. 5 packs of Cream Soda
Correct Answer: A
Rationale: Option A, 2 packs of Orange and 1 pack of Cream Soda, provides 60 drinks for $23, resulting in the lowest cost per drink. Since the consumer needs a minimum of 50 soft drinks for the picnic, this combination offers the most cost-effective solution to meet the requirement within the specified budget. Choosing this combination allows the consumer to have a surplus of 10 drinks while keeping the cost per drink at a minimum, making it the optimal choice for the consumer's needs.
A couple dining at a restaurant receives a bill for $38.40. They wish to leave a 15% gratuity. What is the estimated gratuity amount?
- A. $6.00
- B. $5.00
- C. $4.00
- D. $7.00
Correct Answer: A
Rationale: To calculate the 15% gratuity on a $38.40 bill, you multiply the bill amount by 0.15 (15%): $38.40 x 0.15 = $5.76. Since gratuity amounts are typically rounded up, the estimated gratuity would be $6.00, making choice A the correct answer. In this case, rounding up to the nearest whole dollar is common practice in gratuity calculations to simplify tipping and ensure a fair amount for the service provided.